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53000640 = 26325711239
BaseRepresentation
bin1100101000101…
…1100111000000
310200201201012200
43022023213000
5102032010030
65131553200
71212332550
oct312134700
9120651180
1053000640
1127a10190
12158bb800
13ac99134
147079160
1549bdd60
hex328b9c0

53000640 has 336 divisors, whose sum is σ = 228234240. Its totient is φ = 10967040.

The previous prime is 53000627. The next prime is 53000681. The reversal of 53000640 is 4600035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221641 + ... + 221879.

Almost surely, 253000640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

53000640 is an abundant number, since it is smaller than the sum of its proper divisors (175233600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53000640 is a wasteful number, since it uses less digits than its factorization.

53000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53000640 is about 7280.1538445283. The cubic root of 53000640 is about 375.6300873801.

Adding to 53000640 its reverse (4600035), we get a palindrome (57600675).

The spelling of 53000640 in words is "fifty-three million, six hundred forty", and thus it is an aban number.